4229120 has 96 divisors (see below), whose sum is σ = 11793600. Its totient is φ = 1425408.

The previous prime is 4229119. The next prime is 4229129. The reversal of 4229120 is 219224.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 4229092 and 4229101.

It is not an unprimeable number, because it can be changed into a prime (4229129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71651 + ... + 71709.

It is an arithmetic number, because the mean of its divisors is an integer number (122850).

Almost surely, 2^4229120 is an apocalyptic number.

4229120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4229120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5896800).

4229120 is an abundant number, since it is smaller than the sum of its proper divisors (7564480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4229120 is an equidigital number, since it uses as much as digits as its factorization.

4229120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 4229120 is about 2056.4824336716. The cubic root of 4229120 is about 161.7148874236.

The spelling of 4229120 in words is "four million, two hundred twenty-nine thousand, one hundred twenty".